V. Lopatkin

activity

20092022

most citedThe variety of dual mock-Lie algebras

25 citations · 57 across the 22 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.RA2020★ 1 cited

$\frac{1}{2}$ -derivations of Lie algebras and transposed Poisson algebras

Bruno Leonardo Macedo Ferreira, Ivan Kaygorodov, Viktor Lopatkin

A relation between $\frac{1}{2}$ -derivations of Lie algebras and transposed Poisson algebras was established. Some non-trivial transposed Poisson algebras with a certain Lie algebr…

math.RA2020

Parafree augmented algebras and Gröbner-Shirshov bases for complete augmented algebras

Sergei O. Ivanov, Viktor Lopatkin

We develop a theory of parafree augmented algebras similar to the theory of parafree groups and explore some questions related to the Parafree Conjecture. We provide an example of…

21​-derivations of Lie algebras and transposed Poisson algebras

Parafree augmented algebras and Gröbner-Shirshov bases for complete augmented algebras

$\frac{1}{2}$ -derivations of Lie algebras and transposed Poisson algebras